The following transfer function is given for a process: Gp(s)=(s+1)(0.5s+1)6(1s) A P-only controller is connected to this process. a. For a given unit step change in U(s), what is the time domain open-loop response? Sketch the. approximate response. b. Write down the closed-loop servo transfer function (assume GV=GM=1 ). Find the ultimate gain and admissible values of Kc for reasonable control action. c. For Kc=Ku/3, find the closed-loop servo transfer function. Find the value, and comment on whether the response will be oscillatory. Find the steady state offset given a unit step change in setpoint. Sketch the approximate response